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Finding the Fourth Proportional to 562.21, 775.63 and 349.43

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Solution

The fourth proportional to 562.21, 775.63 and 349.43 is: 482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.21 : 775.63 = 349.43 : x
  2. Step 2: Convert to fraction form
    562.21/775.63 = 349.43/x
  3. Step 3: Cross multiply
    562.21x = 775.63 × 349.43
  4. Step 4: Simplify right side
    562.21x = 271,023.64
  5. Step 5: Solve for x
    x = 271,023.64/562.21
  6. Step 6: Final answer
    x = 482.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.